Physics Elasticity Question 52

Question: If the force constant of a wire is K, the work done in increasing the length of the wire by l is

[MP PMT 1989]

Options:

A) Kl/2

B) Kl

C) $ Kl^{2}/2 $

D) $ Kl^{2} $

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Answer:

Correct Answer: C

Solution:

$ K=\frac{F}{l} $ and$ W=\frac{1}{2}Fl=\frac{1}{2}Kl\times l=\frac{1}{2}Kl^{2} $